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Question : Directions: If + means ÷, – means +, × means – and ÷ means ×, then what will come into place of ? in the given equation? 6 ÷ 4 × 10 + 2 – 3 = ?
Option 1: 15
Option 2: 22
Option 3: 20
Option 4: 18
Correct Answer: 22
Solution : Given: If + means ÷, – means +, × means – and ÷ means × 6 ÷ 4 × 10 + 2 – 3 = ?
After replacing the symbols according to the question the equation becomes – ⇒ 6 × 4 – 10 ÷
Question : 3 men and 5 women together can complete a work in 6 days, whereas 4 men and 9 women together can do it in 4 days. How many women are required to do the same work in 7 days?
Option 2: 12
Option 3: 14
Option 4: 10
Correct Answer: 12
Solution : Given: 3 men and 5 women together can complete a work in 6 days, whereas 4 men and 9 women together can do it in 4 days. Let the efficiency of 1 man and 1 woman be $x$ and $y$. According to the question, $(3x
Question : Which state Chief Minister has inaugurated a project of the Women and Child Development department to provide milk and eggs to children at all Anganwadis in the state in a bid to improve their nutrition levels?
Option 1: Andhra Pradesh
Option 2: Kerala
Option 3: Karnataka
Option 4: Tamil Nadu
Correct Answer: Kerala
Solution : The correct answer is Kerala.
The Chief Minister of Kerala, Pinarayi Vijayan, launched an initiative by the Women and Child Development Department aimed at supplying milk and eggs to children in all Anganwadis across the state. The Kerala government has allocated more than Rs.
Question : The marked price of a chair is Rs. 1600. After giving two successive discounts of 10% and $x$%, the chair is sold for Rs. 1368. What is the value of $x$?
Option 1: 7
Option 2: 4
Option 3: 5
Option 4: 8
Correct Answer: 5
Solution : Marked Price (MP) = Rs. 1600 First discount = 10% Final selling price (SP) = Rs. 1368 Selling price after discount = Marked Price × (1 – Discount %) ⇒ Selling Price after first discount = Rs. 1600 × (1 – $\frac{10}{100}$) = Rs. 1440
Question : A pilot in an aeroplane at an altitude of 200 metres observes two points lying on either side of a river. If the angles of depression of the two points be $45^{\circ}$ and $60^{\circ}$, then the width of the river is:
Option 1: $(200+\frac{200}{\sqrt{3}})$ metres
Option 2: $(200-\frac{200}{{\sqrt3}})$ metres
Option 3: $400 {\sqrt3}$ metres
Option 4: $(\frac{400}{{\sqrt3}})$ metres
Correct Answer: $(200+\frac{200}{\sqrt{3}})$ metres
Solution : Let BD be $x$ and CD be $y$. In right $\triangle$ABD, $\tan 45^{\circ}$ = $\frac{AD}{BD}$ $⇒1 = \frac{200}{x}$ $⇒x= 200$ Now, in right $\triangle$ACD, $\tan 60^{\circ}= \frac{AD}{CD}$ $⇒\sqrt3= \frac{200}{y}$ $⇒y= \frac{200}{\sqrt3}$ $\therefore$ The width of the river $=x+y = 200+\frac{200}{\sqrt3}$ metres Hence, the correct
Question : Directions: Select the letter cluster from among the given options that can replace the question mark (?) in the following series. ABCD, YZEF, WXGH, UVIJ, ?
Option 1: STKL
Option 2: STLM
Option 3: TSKL
Option 4: TLSK
Correct Answer: STKL
Solution : Given: ABCD, YZEF, WXGH, UVIJ, ?
The pattern is as follows – ABCD→A – 2 = Y, B – 2 = Z, C + 2 = E, D + 2 = F YZEF→Y – 2 = W, Z – 2 = X, E + 2
Question : Which one of the following is correctly matched?
Option 1: Secondary consumer - Grass
Option 2: Decomposer - Bacteria
Option 3: Producer - Deer
Option 4: Primary consumer - Leopard
Correct Answer: Decomposer - Bacteria
Solution : The correct answer is Decomposer - Bacteria.
Question : If $a=\sqrt{6}–\sqrt{5}$, $b=\sqrt{5}–2$, and $c=2–\sqrt{3}$, then point out the correct alternative among the four alternatives given below.
Option 1: $b<a<c$
Option 2: $a<c<b$
Option 3: $b<c<a$
Option 4: $a<b<c$
Correct Answer: $a<b<c$
Solution : Given: $a=\sqrt{6}–\sqrt{5}$, $b=\sqrt{5}–2$, $c=2–\sqrt{3}$ Rationalising the given values, $a=\sqrt{6}–\sqrt{5}×\frac{\sqrt{6}+\sqrt{5}}{\sqrt{6}+\sqrt{5}}$ ⇒ $a=\frac{1}{\sqrt{6}+\sqrt{5}}$ -----(1) $b=\sqrt{5}–2×\frac{\sqrt{5}+2}{\sqrt{5}+2}$ ⇒ $b=\frac{1}{\sqrt{5}+2}$ ⇒ $b=\frac{1}{\sqrt{5}+\sqrt{4}}$------(2) $c=2–\sqrt{3}×\frac{2+\sqrt{3}}{2+\sqrt{3}}$ ⇒ $c=\frac{1}{2+\sqrt{3}}$ ⇒ $c=\frac{1}{\sqrt{4}+\sqrt{3}}$------(3) By comparing $(a,b,c)$ we can find $a<b<c$. Hence, the correct answer is $a<b<c$.
Question : Amita travels from her house at $3 \frac{1}{2}$ km/hr and reaches her school 6 minutes late. The next day she travels at $4 \frac{1}{2}$ km/hr and reaches her school 10 minutes early. What is the distance between her house and the school?
Option 1: 5.6 km
Option 2: 4.8 km
Option 3: 5.4 km
Option 4: 4.2 km
Correct Answer: 4.2 km
Solution :
Given: Speed 1 $=3 \frac{1}{2}$ km/hr $= 3.5$ km/hr reaches 6 min late Speed 2 $=4 \frac{1}{2}$ km/hr $= 4.5$ km/hr reaches 10 min early Distance $=\frac{\text{(Speed 1 × Speed 2)}}{\text{(Difference of speeds)}}$ × time difference $\therefore$ Distance $=\frac{\text{(3.5 × 4.5)}}{(4.5-3.5)} × \frac{16}{60}=4.2$ Hence,
Question : Who amongst the following wrestlers has been the recipient of the Rajiv Gandhi Khel Ratna Award?
Option 1: Vijender Singh
Option 2: Sushil Kumar
Option 3: Anand Kumar Singh
Option 4: Zorawar Singh Faujdar
Correct Answer: Sushil Kumar
Solution : The answer is Sushil Kumar.
Sushil Kumar became the first Indian to win two Olympic medals for an independent India. He got the Rajiv Gandhi Khel Ratna Award in 2009. Now, the name of the Rajiv Gandhi Khel Ratna Award has been changed to
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